# How do you solve abs [3x+9]=7?

Sep 4, 2017

The answer is $- \frac{2}{3}$ or $- \frac{16}{3}$.

#### Explanation:

Given:

$| 3 x + 9 | = 7$

therefore, either

$3 x + 9 = 7 \text{ " or " } - 3 x - 9 = 7$

$3 x = 7 - 9 \text{ " or " } - 3 x = 7 + 9$

$3 x = - 2 \text{ " or " } - 3 x = 16$

$x = - \frac{2}{3} \text{ " or " } x = - \frac{16}{3}$

The answer is $- \frac{2}{3}$ or $- \frac{16}{3}$.